Details

sample320.0ms

Algorithm

intervals

Results

25.0ms	457×	body	80	nan
13.0ms	226×	body	80	valid
11.0ms	226×	body	80	overflowed
4.0ms	32×	body	160	valid

simplify70.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	7
1	28	7
2	40	7
3	73	7
4	176	7
5	559	7
6	2626	7
7	5001	7

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
0.3b	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
6.3b	(- (exp (* 2.0 x)) 1.0)
6.4b	(- (exp x) 1.0)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

78×	`add-sqr-sqrt`
75×	`*-un-lft-identity`
51×	`times-frac`
31×	`sqrt-prod`
27×	`add-cube-cbrt`
24×	`distribute-lft-out--` `difference-of-squares`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `flip3--` `associate-/r` `flip--` `associate-/l`
4×	`associate-/r/`
2×	`sub-neg` `rem-sqrt-square` `diff-log` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `div-sub` `div-exp` `clear-num`

Counts

4 → 123

Calls

4 calls:

14.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
23.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
4.0ms	(- (exp (* 2.0 x)) 1.0)
7.0ms	(- (exp x) 1.0)

series196.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(sqrt (/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0)))
60.0ms	(/ (- (exp (* 2.0 x)) 1.0) (- (exp x) 1.0))
25.0ms	(- (exp (* 2.0 x)) 1.0)
22.0ms	(- (exp x) 1.0)

simplify121.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	387	1380
1	1054	1314
2	4287	1301
3	5003	1293

prune331.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (exp (* 2.0 x)))
1.0b	(sqrt (exp (* 2.0 x)))
6.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.4b	(- (exp x) 1.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-cube-cbrt` `sqrt-pow1`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

1.0ms	(sqrt (exp (* 2.0 x)))
1.0ms	(sqrt (exp (* 2.0 x)))
10.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
5.0ms	(- (exp x) 1.0)

series108.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp (* 2.0 x)))
25.0ms	(sqrt (exp (* 2.0 x)))
47.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
15.0ms	(- (exp x) 1.0)

simplify104.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (31.0ms)

Iter	Nodes	Cost
0	168	382
1	414	365
2	1068	363
3	3163	361
4	5001	361

prune204.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (exp (* 2.0 x)))
1.0b	(sqrt (exp (* 2.0 x)))
6.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.4b	(- (exp x) 1.0)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `sqrt-prod`
10×	`add-log-exp`
6×	`pow1` `add-cube-cbrt` `sqrt-pow1`
5×	`difference-of-squares`
4×	`add-exp-log` `add-cbrt-cube`
3×	`distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 62

Calls

4 calls:

1.0ms	(sqrt (exp (* 2.0 x)))
1.0ms	(sqrt (exp (* 2.0 x)))
7.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
4.0ms	(- (exp x) 1.0)

series106.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(sqrt (exp (* 2.0 x)))
21.0ms	(sqrt (exp (* 2.0 x)))
49.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
14.0ms	(- (exp x) 1.0)

simplify107.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	168	382
1	414	365
2	1068	363
3	3163	361
4	5001	361

prune233.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt (exp (* 2.0 x)))
1.0b	(sqrt (exp (* 2.0 x)))
6.4b	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
6.4b	(- (sqrt (exp x)) (sqrt 1.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt`
18×	`sqrt-prod`
14×	`*-un-lft-identity`
10×	`add-log-exp`
8×	`difference-of-squares`
6×	`pow1` `add-cube-cbrt` `sqrt-pow1`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
2×	`sub-neg` `rem-sqrt-square` `exp-prod` `flip3--` `exp-to-pow` `pow1/2` `diff-log` `flip--`

Counts

4 → 66

Calls

4 calls:

1.0ms	(sqrt (exp (* 2.0 x)))
1.0ms	(sqrt (exp (* 2.0 x)))
7.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
8.0ms	(- (sqrt (exp x)) (sqrt 1.0))

series135.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(sqrt (exp (* 2.0 x)))
27.0ms	(sqrt (exp (* 2.0 x)))
46.0ms	(- (sqrt (exp (* 2.0 x))) (sqrt 1.0))
40.0ms	(- (sqrt (exp x)) (sqrt 1.0))

simplify75.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (24.0ms)

Iter	Nodes	Cost
0	156	460
1	340	439
2	836	437
3	2386	435
4	5001	435

prune257.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes31.0ms

Accuracy

77.4% (0.7b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 3.2b

bsearch36.0ms

Steps

Iters	Range		Point
5	-9.908937497330451e-11	-3.2357594850027844e-11	-5.477976072337319e-11

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	27
1	38	27

end0.0ms

sample1.8s

Algorithm

intervals

Results

662.0ms	12746×	body	80	nan
410.0ms	7482×	body	80	valid
330.0ms	6660×	body	80	overflowed
91.0ms	669×	body	160	valid